Overview

This text is devoted to the topological fixed point theory both for single-valued and multivalued mappings in locally convex spaces, including its application to boundary value problems for ordinary differential equations (inclusions) and to (multivalued) dynamical systems. It deals with the topological fixed point theory in non-metric spaces. Although the theoretical material was tendentiously selected with respect to applications, the text is self-contained. Therefore, three appendices concerning almost-periodic and derivo-periodic single-valued (multivalued) functions and (multivalued) fractals are supplied to the main three chapters. In Chapter I, the topological and analytical background is built. Then, in Chapter II, topological principles necessary for applications are developed. Finally, in Chapter III, boundary value problems for differential equations and inclusions are investigated in detail by means of the results in Chapter II. This monograph should be especially useful for post-graduade students and researchers interested in topological methods in nonlinear analysis, particularly in differential equations, differential inclusions and (multivalued) dynamical systems. The content is also likely to stimulate the interest of mathematical economists, population dynamics experts as well as theoretical physicists exploring the topological dynamics.

Full Product Details

Author:   J. Andres ,  Lech Górniewicz
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   2003 ed.
Volume:   1
Dimensions:   Width: 15.50cm , Height: 4.10cm , Length: 23.50cm
Weight:   1.518kg
ISBN:  

9781402013805

ISBN 10:   1402013809
Pages:   761
Publication Date:   31 July 2003
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Awaiting stock  
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Table of Contents

I Theoretical background.- II General principles.- III Application to differential equations and inclusions.- Appendices.- A.1. Almost-periodic single-valued and multivalued functions.- A.2. Derivo-periodic single-valued and multivalued functions.- A.3. Fractals and multivalued fractals.- References.

Reviews

From the reviews: <p> This book is the most complete and well written text so far on the applications of topological fixed point principles to boundary value problems for ordinary differential equations and differential inclusions. It is a unique monograph dealing with topological fixed point theory in the framework of non-metric spaces, and part of the material focuses on recent results of one author, or both of them. -- MATHEMATICAL REVIEWS <p> The monograph is devoted to the topological fixed point theory a ] . The book is self-contained and every chapter concludes by a section of Remarks and Comments a ] . I believe that this monumental monograph will be extremely useful to postgraduates students and researchers in topological fixed point theory nonlinear analysis, nonlinear differential equations and inclusions a ] . This book should stimulate a great deal of interest and research in topological methods in general and in their applications in particular. (Radu Precup, Studia universitatis Babes-Bolyai Mathematica, Vol. XLIX (1), 2004)

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